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Simplifying r2 + -15r = -18r + -10 Reorder the terms: -15r + r2 = -18r + -10 Reorder the terms: -15r + r2 = -10 + -18r Solving -15r + r2 = -10 + -18r Solving for variable 'r'. Reorder the terms: 10 + -15r + 18r + r2 = -10 + -18r + 10 + 18r Combine like terms: -15r + 18r = 3r 10 + 3r + r2 = -10 + -18r + 10 + 18r Reorder the terms: 10 + 3r + r2 = -10 + 10 + -18r + 18r Combine like terms: -10 + 10 = 0 10 + 3r + r2 = 0 + -18r + 18r 10 + 3r + r2 = -18r + 18r Combine like terms: -18r + 18r = 0 10 + 3r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 3r + -10 + r2 = 0 + -10 Reorder the terms: 10 + -10 + 3r + r2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3r + r2 = 0 + -10 3r + r2 = 0 + -10 Combine like terms: 0 + -10 = -10 3r + r2 = -10 The r term is 3r. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3r + 2.25 + r2 = -10 + 2.25 Reorder the terms: 2.25 + 3r + r2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + 3r + r2 = -7.75 Factor a perfect square on the left side: (r + 1.5)(r + 1.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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